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E(Fe^(3+)//Fe)^(@)=-0.036V,E(Fe^(2+)//Fe...

`E_(Fe^(3+)//Fe)^(@)=-0.036V,E_(Fe^(2+)//Fe)^(@)=-0.0439V`. The value of standard electrode potential for the change, `Fe^(3+)(aq)+e^(-)toFe^(2+)(aq)` will be

A

`-0.072V`

B

`0.385V`

C

`0.020V`

D

`-0.270V`

Text Solution

Verified by Experts

The correct Answer is:
C
`Fe^(3+)+3e^(-)toFe,DeltaG_(1)=-3xxFxxE_(Fe^(3+)//Fe)^(0)`
`Fe^(+2)+2e^(-)toFe,DeltaG_(2)=-2xxFxxE_(Fe^(2+)//Fe)^(0)`
`Fe^(3+)+e^(-)toFe^(2+),DeltaG=DeltaG_(1)-DeltaG_(2)`
`DeltaG=3xx0.036F-2xx0.439xxF=-1xxE_((Fe^(3+)//Fe^(+2)))^(o)xxF`
`E_((Fe^(3+)//Fe^(+2)))^(o)=2xx0.439-3xx0.036`
`=0.878-0.108=0.770V`
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